Finding the Fourth Proportional to 8,000,806,394,785.10, 11,041,112,823,733 and 4,532,425,507,456.10
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Solution
The fourth proportional to 8,000,806,394,785.10, 11,041,112,823,733 and 4,532,425,507,456.10 is: 6,254,747,199,683.02
Step by Step Solution
- Step 1: Write the proportion equation
8,000,806,394,785.10 : 11,041,112,823,733 = 4,532,425,507,456.10 : x - Step 2: Convert to fraction form
8,000,806,394,785.10/11,041,112,823,733 = 4,532,425,507,456.10/x - Step 3: Cross multiply
8,000,806,394,785.10x = 11,041,112,823,733 × 4,532,425,507,456.10 - Step 4: Simplify right side
8,000,806,394,785.10x = 50,043,021,392,988,087,794,008,064 - Step 5: Solve for x
x = 50,043,021,392,988,087,794,008,064/8,000,806,394,785.10 - Step 6: Final answer
x = 6,254,747,199,683.02
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.